Jawab:
[tex]D. \ \frac{x^{10}}{12y^{3}z^{2}}[/tex]
Penjelasan dengan langkah-langkah:
[tex]\frac{3x^2y^{-1}z^{-6}}{(6x^{-4}yz^{-2})^2} = \frac{3x^2y^{-1}z^{-6}}{6^2x^{-8}y^2z^{-4}}[/tex]
[tex]= \frac{3x^2y^{-1}z^{-6}}{36x^{-8}y^2z^{-4}} \\ \\= \frac{x^{2+8}}{12y^{2+1}z^{-4+6}} \\ \\= \frac{x^{10}}{12y^{3}z^{2}}[/tex]
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Verified answer
Jawab:
[tex]D. \ \frac{x^{10}}{12y^{3}z^{2}}[/tex]
Penjelasan dengan langkah-langkah:
[tex]\frac{3x^2y^{-1}z^{-6}}{(6x^{-4}yz^{-2})^2} = \frac{3x^2y^{-1}z^{-6}}{6^2x^{-8}y^2z^{-4}}[/tex]
[tex]= \frac{3x^2y^{-1}z^{-6}}{36x^{-8}y^2z^{-4}} \\ \\= \frac{x^{2+8}}{12y^{2+1}z^{-4+6}} \\ \\= \frac{x^{10}}{12y^{3}z^{2}}[/tex]